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Multiplying gets a square? (Posted on 2004-06-26)

Is it possible to get a perfect square if you multiply three consecutive natural numbers?

See The Solution Submitted by Federico Kereki

Rating: 3.0000 (5 votes)

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re: Solution

| Comment 8 of 25 |

(In reply to Solution by Nick Hobson)

The observation that x and x² - 1 have no common factor but their product is a square means that each is a square. But x² - 1 is not a square for x>1.

Posted by Richard on 2004-06-26 15:48:42

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